Prime p₀= 2501854540394843087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 4 2 88 2 40 2 16 2 (?)
a_n: 0 2 42 44 54 56 60 62 150 152 192 194 210 212
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: arkiss
db: batch=82, k=14, 40 10 4 88 40 16

SPT(16)	2501853898300573807	0 34 60 72 180 196 204 240 256 292 300 316 424 436 462 496	-642094269280
SPT(16)	2501853899945592581	0 6 26 32 42 48 60 68 90 98 110 116 126 132 152 158	-640449250506
SPT(16)	2501853920733132319	0 40 60 132 138 162 168 180 190 202 208 232 238 310 330 370	-619661710768
SPT(16)	2501854217782945591	0 46 66 70 82 100 102 118 150 166 168 186 198 202 222 268	-322611897496
SPT(16)	2501854414382256929	0 78 90 92 114 132 188 242 300 354 410 428 450 452 464 542	-126012586158
SPT(16)	2501854517680512851	0 6 36 68 72 126 128 132 176 180 182 236 240 272 302 308	-22714330236
TPT(14)	2501854566175619087	0 2 30 32 42 44 102 104 210 212 240 242 264 266	25780776000
SPT(16)	2501855581025770573	0 4 36 64 88 90 114 130 174 190 214 216 240 268 300 304	1040630927486
SPT(16)	2501855903478771823	0 16 34 54 58 84 96 156 208 268 280 306 310 330 348 364	1363083928736
STPT(10)	2501856649623614807	0 2 30 32 42 44 54 56 84 86	2109228771720
STPT(10)	2501856755261923481	0 2 36 38 78 80 120 122 156 158	2214867080394